What is the Greatest Common Factor of 29325 and 29333?

Greatest common factor (GCF) of 29325 and 29333 is 1.

GCF(29325,29333) = 1

We will now calculate the prime factors of 29325 and 29333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29325 and 29333.

How to find the GCF of 29325 and 29333?

We will first find the prime factorization of 29325 and 29333. After we will calculate the factors of 29325 and 29333 and find the biggest common factor number .

Step-1: Prime Factorization of 29325

Prime factors of 29325 are 3, 5, 17, 23. Prime factorization of 29325 in exponential form is:

29325 = 3¹ × 5² × 17¹ × 23¹

Step-2: Prime Factorization of 29333

Prime factors of 29333 are 29333. Prime factorization of 29333 in exponential form is:

29333 = 29333¹

Step-3: Factors of 29325

List of positive integer factors of 29325 that divides 29325 without a remainder.

1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 115, 255, 345, 391, 425, 575, 1173, 1275, 1725, 1955, 5865, 9775

Step-4: Factors of 29333

List of positive integer factors of 29333 that divides 29325 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29325 and 29333. The biggest common factor number is the GCF number.
So the greatest common factor 29325 and 29333 is 1.

Also check out the Least Common Multiple of 29325 and 29333